Answer:
x = 24, PR = 404, QS = 404
Step-by-step explanation:
PR and QS are both diagonals of the rectangle. The diagonals of a rectangle bisect each other and are of equal length. Thus, we can say:
PR = QS
18x - 28 = x + 380
Solving for x, we get:
18x - x = 380 + 28
17x = 408
x = 408/17
x = 24
Thus, PR = 18(24) - 28 = 404 and QS = 24 + 380 = 404
Third choice is right.
Answer:
A= H<u>b B
</u>
2
Step-by-step explanation:
Q16- = A=75
cm
Q17- = A=10in
Q18- = A=70
Answer:
11.820 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...
sin(52°) = height/(15 ft)
Multiplying by the denominator gives you ...
height = (15 ft)·sin(52°) ≈ 11.820 ft
___
You may need to round this number appropriately.
120+.5x=50+.7x
Subtract 50 from both sides and then subtract .5x from both sides to get 70=.2x. Then divide both sides by .2 to get x=350.